{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "the sinc function\n", "============" ] }, { "cell_type": "code", "collapsed": false, "input": [ "from ipywidgets import StaticInteract, RangeWidget, RadioWidget\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "# here we define the function which depends on variables.\n", "# one can define functions with as many variables as desired\n", "\n", "def f(x,var):\n", " return np.sinc(x/var)**2\n", "\n", "# this is the routine which calls the function f(x,var)\n", "# and plots the variation with respect to var\n", "\n", "def plot(var):\n", " fig, ax = plt.subplots(figsize=(4, 3),\n", " subplot_kw={'axisbg':'#EEEEEE',\n", " 'axisbelow':True})\n", " ax.grid(color='w', linewidth=2, linestyle='solid')\n", " x = np.linspace(-50, 50, 1001)\n", " ax.plot(x, f(x,var), lw=5, alpha=0.4, label=var)\n", " ax.set_xlim(-50, 50)\n", " ax.set_ylim(-0.1, 1.1)\n", " ax.legend(loc='upper right')\n", " return fig\n", "\n", "# here we look at the function's dependence on the value of var.\n", "# we can add any number of variables var1, var2 in the same way.\n", "# the syntax in the RangeWidget is (start, end, increment)\n", "\n", "StaticInteract(plot,var=RangeWidget(10, 100, 10))" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " \n", " \n", "
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"prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.subplot(221)\n", "plt.imshow(z1)\n", "plt.xticks([])\n", "plt.title('z = 20')\n", "plt.subplot(222)\n", "plt.imshow(z2)\n", "plt.title('z = 50')\n", "plt.xticks([])\n", "plt.subplot(223)\n", "plt.imshow(z3)\n", "plt.title('z = 100')\n", "plt.subplot(224)\n", "plt.imshow(z4)\n", "plt.title('z = 200')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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ansq1ViSnE6CuKWY1dQypNep52psbPXmrX3vtNb7yla9w5MgRhoeH+b3f+z3+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\nnjpnAnSdUBXgKVg1CctRyWKpZBCaQUWAUhZUlC4dkcRCd6x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"text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "for a square window of length 10 units and width 10. all units are in 1/k" ] }, { "cell_type": "code", "collapsed": false, "input": [ "x, y = np.linspace(-10,10,101), np.linspace(-10,10,101)\n", "z1, z2, z3, z4 = np.zeros([101,101]), np.zeros([101,101]), np.zeros([101,101]), np.zeros([101,101])\n", "\n", "a = 0\n", "for i in x:\n", " b = 0\n", " for j in y:\n", " z1[a][b] = ((np.sinc(10*i/20))**2)*((np.sinc(10*j/20))**2)\n", " z2[a][b] = ((np.sinc(10*i/50))**2)*((np.sinc(10*j/50))**2)\n", " z3[a][b] = ((np.sinc(10*i/100))**2)*((np.sinc(10*j/100))**2)\n", " z4[a][b] = ((np.sinc(10*i/200))**2)*((np.sinc(10*j/200))**2)\n", " b += 1\n", " a += 1\n", "a = 0" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "code", "collapsed": false, "input": [ "plt.subplot(221)\n", "plt.imshow(z1)\n", "plt.xticks([])\n", "plt.title('z = 20')\n", "plt.subplot(222)\n", "plt.imshow(z2)\n", "plt.title('z = 50')\n", "plt.xticks([])\n", "plt.subplot(223)\n", "plt.imshow(z3)\n", "plt.title('z = 100')\n", "plt.subplot(224)\n", "plt.imshow(z4)\n", "plt.title('z = 200')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 5, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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xfzuAaAzGhmBsOdAXZ/5bJgRh4leZIO61f5S4l/5I8ntdK8gL/EwXiCpwqjG3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